What is the Greatest Common Factor of 56884 and 56896?

Greatest common factor (GCF) of 56884 and 56896 is 4.

GCF(56884,56896) = 4

We will now calculate the prime factors of 56884 and 56896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56884 and 56896.

How to find the GCF of 56884 and 56896?

We will first find the prime factorization of 56884 and 56896. After we will calculate the factors of 56884 and 56896 and find the biggest common factor number .

Step-1: Prime Factorization of 56884

Prime factors of 56884 are 2, 14221. Prime factorization of 56884 in exponential form is:

56884 = 2² × 14221¹

Step-2: Prime Factorization of 56896

Prime factors of 56896 are 2, 7, 127. Prime factorization of 56896 in exponential form is:

56896 = 2⁶ × 7¹ × 127¹

Step-3: Factors of 56884

List of positive integer factors of 56884 that divides 56884 without a remainder.

1, 2, 4, 14221, 28442

Step-4: Factors of 56896

List of positive integer factors of 56896 that divides 56884 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 127, 224, 254, 448, 508, 889, 1016, 1778, 2032, 3556, 4064, 7112, 8128, 14224, 28448

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56884 and 56896. The biggest common factor number is the GCF number.
So the greatest common factor 56884 and 56896 is 4.

Also check out the Least Common Multiple of 56884 and 56896